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2 years ago

Which of the following functions is a direct variation?

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

7 0

Answer:

$f(x)=2x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a direct variation the constant of proportionality k is equal to the slope of the line m and the line passes through the origin

therefore

in this problem

$f(x)=2x$ -----> represent a direct variation

valentina_108 [34]2 years ago

4 0

When two variable quantities have a constant (unchanged) ratio, their relationship is called a direct variation. It is said that one variable "varies<span> directly" as the other...simply when the y-intercept is zero.

So the best answer is f(x)=2x</span>

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The sum of two numbers is 128. Their difference is 4. What are the numbers?

Naddik [55]

Answer:

66 and 62

Step-by-step explanation:

128 divided by 2 gives you 64, and by taking two away from one number and giving it to the other, you're final answers are 66 and 62

3 0

3 years ago

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Steve and Elizabeth decide to become partners in a children’s cooking school. They need $80,000 for the franchise. They invest i

PilotLPTM [1.2K]

Answer:

The share of Steve is $34,285 .71

The share of Elizabeth is $45,714.28

Step-by-step explanation:

The total investment of Steve and Elizabeth in cooking school = $80, 000

The ratio of investment of Steve and Elizabeth = 3: 4

Let us assume the common factor in the ratio is m.

So, the ratio of Steve = 3 m

and the ratio of Steve = 4 m

So, according to the question:

⇒ 3 m + 4 m = 80,000

or, 7 m = 80,000

⇒ m = 80,000 / 7 = 11,428.57

or, m = 11,428.57

⇒ The share of Steve = 3 m = 3 x (11,428.57) = 34,285 .71

⇒ The share of Elizabeth = 4 m = 4 x (11,428.57) = 45,714.28

4 0

3 years ago

If I have 87 points and I want to get to 700, how many more points do I need?

garri49 [273]

Subtract 87 from 700
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3 years ago

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I need help ASAP please help! 10th grade algebra

Sholpan [36]

This is 10th grade I’m in regular 8th and can do this w no problem

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2 years ago

Determine whether each sum, difference, product,

PIT_PIT [208]

Answer:

28. The difference represents an irrational number

29. The difference represents a rational number

30. The quotient represents a rational number

31. The quotient represents an irrational number

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational number is any numbers can be put in the form of a/b,

where a and b are integers b ≠ 0

- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................

- The irrational number is any number that is not rational

- It is a number that cannot be written as a ratio of two integers

or cannot be expressed as a fraction

- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)

- If the part of the the number is irrational, then the number

is irrational

- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13

* Lets solve the problems

28. $\frac{6}{23}-\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The difference represents an irrational number

29. $\frac{6}{23}-\frac{15}{127}$

∵ The two terms are rational numbers

∴ The difference represents a rational number

30. $\frac{6}{23}$ ÷ $\frac{15}{127}$

∵ The two terms are rational numbers

∴ The quotient represents a rational number

31. $\frac{6}{23}$ ÷ $\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The quotient represents an irrational number

7 0

3 years ago